Sphere Volume and Surface Area Calculator
Calculate ideal sphere volume, surface area, and diameter from one positive radius in consistent measurement units.
Calculate sphere volume and surface area
How this tool works
A sphere is completely determined by its radius. This calculator presents diameter, surface area, and enclosed volume together while separating linear, square, and cubic result units for correct interpretation.
Diameter equals 2r, surface area equals 4πr², and volume equals (4/3)πr³. The radius unit determines all corresponding result units.
How to use it
- Enter a positive sphere radius.
- Read diameter in the original length unit.
- Interpret surface area as square units and volume as cubic units.
Worked examples
Radius five
- Input
- Radius 5
- Output
- Volume approximately 523.60
Four thirds times π times five cubed gives about 523.60 cubic units, while surface area is one hundred π.
Unit sphere
- Input
- Radius 1
- Output
- Volume approximately 4.19
With unit radius, the formula reduces to four thirds π for volume and four π for surface area.
Limitations
- The object is assumed to be a perfect sphere.
- Wall thickness, deformation, and usable internal capacity are excluded.